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Simplifying 6(6v + 6) + -5 = 1 + -6v Reorder the terms: 6(6 + 6v) + -5 = 1 + -6v (6 * 6 + 6v * 6) + -5 = 1 + -6v (36 + 36v) + -5 = 1 + -6v Reorder the terms: 36 + -5 + 36v = 1 + -6v Combine like terms: 36 + -5 = 31 31 + 36v = 1 + -6v Solving 31 + 36v = 1 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 31 + 36v + 6v = 1 + -6v + 6v Combine like terms: 36v + 6v = 42v 31 + 42v = 1 + -6v + 6v Combine like terms: -6v + 6v = 0 31 + 42v = 1 + 0 31 + 42v = 1 Add '-31' to each side of the equation. 31 + -31 + 42v = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 42v = 1 + -31 42v = 1 + -31 Combine like terms: 1 + -31 = -30 42v = -30 Divide each side by '42'. v = -0.7142857143 Simplifying v = -0.7142857143
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